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Finding the Third Proportional to 128,697 and 283,575

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Solution

The third proportional to 128,697 and 283,575 is: 624,838.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,697 : 283,575 = 283,575 : x
  2. Step 2: Convert to fraction form
    128,697/283,575 = 283,575/x
  3. Step 3: Cross multiply
    128,697x = 283,575 × 283,575
  4. Step 4: Simplify right side
    128,697x = 80,414,780,625
  5. Step 5: Solve for x
    x = 80,414,780,625/128,697
  6. Step 6: Final answer
    x = 624,838.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.